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Yards, Feet and Inches King Henry Doesn't Usually Drink Chocolate Milk Kilo Hecto Deca Unit Deci Centi Milli is a dot has arrows at the end and goes on forever has one endpoint and one arrow are dots at the end of rays and segments has two endpoints a flat surface that is endless in all directions lines that cross are lines that are the same distance apart and never cross How to read a protractor When the angle opens to the right. Use the lower or inside scale. When the angle opens to the left. Use the upper or outside scale. Solving for Missing Angles Complementary Angles Supplementary Angles x = 57 missing angle x missing angle x x = 14 Two angles that add up to 180 x + 166 = 180 -166 -166 Two angles that add up to 90 33 + x = 90 -33 -33 x = 57 the missing angle x = 14 Vertical Angles = 107 the missing angle Two diagonal angles are congruent the missing angle Triangle Hexagon Quadrilateral Pentagon Octagon Inside Acute 3 equal Right one right Obtuse one obtuse Outside Equilateral three equal Isosceles Scalene two NO equal equal parallelogram 2 pairs of parallel sides Rectangle 4 right angles, 2 pairs of parallel sides Rhombus 4 equal sides, 2 pairs of parallel sides Square 4 rights angles 4 equal sides 2 pairs of parallel sides is equal to 90 is between 0 and 90 is between 90 and 180 is equal to 180 are on diagonal sides and are congruent (same) two angles that add up to 90 two angles that add up to 180 Perimeter and Area Formulas Square: Perimeter Area P = 4s A = s2 side Area side Perimeter Rectangle: Area Perimeter A=LxW P= 2L + 2w Length Area Width Length Width Perimeter Parallelogram and Trapezoid Area of a Trapezoid Area of a Parallelogram A = bh Area A = 1 (b1 + b2) h height 2 base height base1 Triangle Area A = 1 bh 2 base height base2 3 sided 40 + 95 + x = 180 135 + x = 180 -135 -135 x = 45 All triangles add up to 180 58 + 108 + 130 + x = 360 296 + x = 360 -296 -296 x = 64 All quadrilaterals add up to 360 Circle Formulas C = 2(3.14)(r) A = 3.14(r2) C = 3.14(d) A = .25(3.14)(d2) Coordinate Graph (Plane) Plotting coordinate points (x,y) on a graph Qudrant II +y axis 6 y 5 (-x,+y) (+x,+y) (2,4) 4 (-2,3) Qudrant I 3 2 1 -x axis 6 5 4 3 2 1 (0,0) origin 0 1 x 1 2 (-5,-3) 2 3 4 5 (3, -2) 3 4 (-x,-y) (+x,-y) 5 Qudrant III 6 -y axis Qudrant IV Step 1: Start at the origin Step 2: Move right (positive x) or left (negative x). Step 3: Move up (positive y) or down (negative y) Step 4: Plot your point and label 6 +x axis directions xaxis directions yaxis 9 units to the right 2 units down y 3 ( x, y) = (x +/ a, y +/ b) 2 (2 , 1) 1 x start xaxis start yaxis 3 2 1 0 1 1 Solve for the end poitns 2 3 ( x, y) = (2 +9, 1 2) end point (7,1) 2 3 (-x,y) (x,y) II I (-x,-y) III x and y switch spots (x,-y) IV x and y stay x and y switch spots 11 12 1 11 2 10 3 9 4 8 7 6 5 12 1 2 10 3 9 4 8 7 6 5 coordinate graphs will always run counterclockwise except when it states clockwise. Is a mirror image. reflection over the x-axis: x stays the same and the sign on y changes reflection over the y-axis: y stays the same and the sign on x changes reflection over the origin (both axis): both signs change on x and y. Dilation to make a dilation larger (whole number) - multiply to make a dilation smaller (fraction) - divide